Rotations, Translations, & Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you translate a point (x, y) right by a units and up by b units?

Back

The new coordinates will be (x + a, y + b).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection for the equation y = x?

Back

The line of reflection is the line where the x-coordinate and y-coordinate are equal.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What does a 180° rotation do to a point (x, y)?

Back

The new coordinates will be (-x, -y).

Front

What does a 90° counter-clockwise rotation do to a point (x, y)?

Back

The new coordinates will be (-y, x).

Front

How do you determine the image of a point after a translation?

Back

Add the translation values to the original coordinates.

Front

What is the effect of reflecting a point across the x-axis?

Back

The new coordinates will be (x, -y).